Analysis on the Stability of an Autonomous Dynamics System for SARS Epidemic

ZHANG Shuang-de; HAO Hai

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ZHANG Shuang-de, HAO Hai. Analysis on the Stability of an Autonomous Dynamics System for SARS Epidemic[J]. Applied Mathematics and Mechanics, 2005, 26(7): 840-846.

Citation:

ZHANG Shuang-de, HAO Hai. Analysis on the Stability of an Autonomous Dynamics System for SARS Epidemic[J]. Applied Mathematics and Mechanics, 2005, 26(7): 840-846.

Citation:

ZHANG Shuang-de, HAO Hai. Analysis on the Stability of an Autonomous Dynamics System for SARS Epidemic[J]. Applied Mathematics and Mechanics, 2005, 26(7): 840-846.

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Analysis on the Stability of an Autonomous Dynamics System for SARS Epidemic

Basic Department, Medical College of Chinese People's Armed Police, Tianjin 300162, P. R. China

Received Date: 2004-01-26
Rev Recd Date: 2005-03-11
Publish Date: 2005-07-15

Abstract

Abstract

An extended dynamic model for SARS epidemic was deduced on the basis of the K-M infection model with taking the density constraint of susceptible population and the cure and death rate of patients into consideration. It is shown that the infection-free equilibrium is global asymptotic stability for under given conditions, and endemic equilibrium is not asymptotic stability. It comes to the conclusion that the epidemic system is permanent persistence existence under appropriate conditions.
- infection model,
- SARS epidemic,
- equilibrium point,
- asymptotic stability

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References(5)

References

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